Transient nearest neighbor random walk on the line

E. Csáki, Antónia Földes, Pál Révész

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

We prove strong theorems for the local time at infinity of a nearest neighbor transient random walk. First, laws of the iterated logarithm are given for the large values of the local time. Then we investigate the length of intervals over which the walk runs through (always from left to right) without ever returning.

Original language English 100-122 23 Journal of Theoretical Probability 22 1 https://doi.org/10.1007/s10959-007-0137-3 Published - Mar 2009

Fingerprint

Local Time
Nearest Neighbor
Random walk
Law of the Iterated Logarithm
Line
Strong Theorems
Walk
Infinity
Interval
Local time
Nearest neighbor

Keywords

• Local time
• Strong theorems
• Transient random walk

ASJC Scopus subject areas

• Mathematics(all)
• Statistics and Probability
• Statistics, Probability and Uncertainty

Cite this

Transient nearest neighbor random walk on the line. / Csáki, E.; Földes, Antónia; Révész, Pál.

In: Journal of Theoretical Probability, Vol. 22, No. 1, 03.2009, p. 100-122.

Research output: Contribution to journalArticle

Csáki, E. ; Földes, Antónia ; Révész, Pál. / Transient nearest neighbor random walk on the line. In: Journal of Theoretical Probability. 2009 ; Vol. 22, No. 1. pp. 100-122.
title = "Transient nearest neighbor random walk on the line",
abstract = "We prove strong theorems for the local time at infinity of a nearest neighbor transient random walk. First, laws of the iterated logarithm are given for the large values of the local time. Then we investigate the length of intervals over which the walk runs through (always from left to right) without ever returning.",
keywords = "Local time, Strong theorems, Transient random walk",
author = "E. Cs{\'a}ki and Ant{\'o}nia F{\"o}ldes and P{\'a}l R{\'e}v{\'e}sz",
year = "2009",
month = "3",
doi = "10.1007/s10959-007-0137-3",
language = "English",
volume = "22",
pages = "100--122",
journal = "Journal of Theoretical Probability",
issn = "0894-9840",
publisher = "Springer New York",
number = "1",

}

TY - JOUR

T1 - Transient nearest neighbor random walk on the line

AU - Csáki, E.

AU - Földes, Antónia

AU - Révész, Pál

PY - 2009/3

Y1 - 2009/3

N2 - We prove strong theorems for the local time at infinity of a nearest neighbor transient random walk. First, laws of the iterated logarithm are given for the large values of the local time. Then we investigate the length of intervals over which the walk runs through (always from left to right) without ever returning.

AB - We prove strong theorems for the local time at infinity of a nearest neighbor transient random walk. First, laws of the iterated logarithm are given for the large values of the local time. Then we investigate the length of intervals over which the walk runs through (always from left to right) without ever returning.

KW - Local time

KW - Strong theorems

KW - Transient random walk

UR - http://www.scopus.com/inward/record.url?scp=58549108260&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=58549108260&partnerID=8YFLogxK

U2 - 10.1007/s10959-007-0137-3

DO - 10.1007/s10959-007-0137-3

M3 - Article

VL - 22

SP - 100

EP - 122

JO - Journal of Theoretical Probability

JF - Journal of Theoretical Probability

SN - 0894-9840

IS - 1

ER -